I'm mostly a Vaper and Virginia smoker myself but one burley blend I enjoy is Peterson Irish Flake.

It did have to grow on me. When I first cracked the tin and smoked some, I didn't care too much for it. I would re-visit it ever so often and when I finished the tin a few months later, I liked it. lol
It's a strong blend though, so keep that in mind. Definitely an after dinner smoke for me.